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131230422234 = 232172157160681
BaseRepresentation
bin111101000110111110…
…0010101010011011010
3110112201200012011121200
41322031330111103122
54122224442002414
6140141511215030
712324004120122
oct1721574252332
9415650164550
10131230422234
115072217460a
1221524977476
13c4b4a8b222
1464cca77c82
153630dad109
hex1e8df154da

131230422234 has 72 divisors (see below), whose sum is σ = 303967602588. Its totient is φ = 40907842560.

The previous prime is 131230422229. The next prime is 131230422293. The reversal of 131230422234 is 432224032131.

131230422234 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 0 + 422 + 234 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 101630252025 + 29600170209 = 318795^2 + 172047^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131230422198 and 131230422207.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 736374 + ... + 897054.

Almost surely, 2131230422234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131230422234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151983801294).

131230422234 is an abundant number, since it is smaller than the sum of its proper divisors (172737180354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131230422234 is a wasteful number, since it uses less digits than its factorization.

131230422234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160880 (or 160860 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131230422234 its reverse (432224032131), we get a palindrome (563454454365).

The spelling of 131230422234 in words is "one hundred thirty-one billion, two hundred thirty million, four hundred twenty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 157 289 306 314 471 578 867 942 1413 1734 2601 2669 2826 5202 5338 8007 16014 24021 45373 48042 90746 136119 160681 272238 321362 408357 482043 816714 964086 1446129 2731577 2892258 5463154 8194731 16389462 24584193 25226917 46436809 49168386 50453834 75680751 92873618 139310427 151361502 227042253 278620854 417931281 428857589 454084506 835862562 857715178 1286572767 2573145534 3859718301 7290579013 7719436602 14581158026 21871737039 43743474078 65615211117 131230422234